Is ZF a Hack?
http://www.cs.ru.nl/~freek/zfc-etc/zfc-etc.pdf
http://www.cs.ru.nl/~freek/zfc-etc/zfc-etc.pdf
A Nice and Accurate Checker for the Mathematical Language Automath
http://www.cs.ru.nl/~freek/aut/aut-4.1-manual.pdf
Considering it's a proof checker, one should probably expect it to be accurate, or so I guess :D
http://www.cs.ru.nl/~freek/aut/aut-4.1-manual.pdf
Considering it's a proof checker, one should probably expect it to be accurate, or so I guess :D
Automated Theorem Proving
http://www.cs.cmu.edu/~fp/courses/atp/handouts/atp.pdf
http://www.cs.cmu.edu/~fp/courses/atp/handouts/atp.pdf
Proofs and Types
http://www.paultaylor.eu/stable/prot.pdf
http://www.paultaylor.eu/stable/prot.pdf
Multicore OCaml: January 2020 update - Community - OCaml
https://discuss.ocaml.org/t/multicore-ocaml-january-2020-update/5090
https://discuss.ocaml.org/t/multicore-ocaml-january-2020-update/5090
OCaml
Multicore OCaml: January 2020 update
Welcome to the January 2020 news update from the Multicore OCaml team! We’re going to summarise our activites monthly to highlight what we’re working on throughout this year. This update has kindly been assembled by @shakthimaan and @kayceesrk. The most…
Forwarded from Brett G.
N_A_Robert_Harper_Practical_Foundations.pdf
6 MB
This text develops a comprehensive theory of programming languages based on type systems and structural operational semantics. Language concepts are precisely defined by their static and dynamic semantics, presenting the essential tools both intuitively and rigorously while relying on only elementary mathematics. These tools are used to analyze and prove properties of languages and provide the framework for combining and comparing language features. The broad range of concepts includes fundamental data types such as sums and products, polymorphic and abstract types, dynamic typing, dynamic dispatch, subtyping and refinement types, symbols and dynamic classification, parallelism and cost semantics, and concurrency and distribution. The methods are directly applicable to language implementation, to the development of logics for reasoning about programs, and to the formal verification language properties such as type safety.
Incomplete and Utter Introduction to Modal Logic, Pt. 1/2
https://serokell.io/blog/incomplete-and-utter-introduction-to-modal-logic
https://serokell.io/blog/rapid-introduction-to-modal-logic-2
[Thanks to GNU/Garak]
https://serokell.io/blog/incomplete-and-utter-introduction-to-modal-logic
https://serokell.io/blog/rapid-introduction-to-modal-logic-2
[Thanks to GNU/Garak]
Introduction to Modal Logic
Modal logic covers such areas of human knowledge as mathematics (especially, topology and graph theory), computer science, linguistics, artificial intelligence, and philosophy. In this post, we introduce the basic idea of modal logic, one of the most popular…
Principia Mathematica, Volume I
https://ia600602.us.archive.org/35/items/PrincipiaMathematicaVolumeI/WhiteheadRussell-PrincipiaMathematicaVolumeI_text.pdf
https://ia600602.us.archive.org/35/items/PrincipiaMathematicaVolumeI/WhiteheadRussell-PrincipiaMathematicaVolumeI_text.pdf
A Primer for Logic and Proof
http://www.appstate.edu/~hirstjl/primer/hirst.pdf
http://www.appstate.edu/~hirstjl/primer/hirst.pdf
An inquiry into the Foundations of Mathematics
https://artagnon.com/articles/fom
https://artagnon.com/articles/fom
Artagnon
artagnon.com: articles/fom
Functional Programming with Bananas, Lenses, Envelopes and Barbed Wire
https://ris.utwente.nl/ws/portalfiles/portal/6142049/meijer91functional.pdf
https://ris.utwente.nl/ws/portalfiles/portal/6142049/meijer91functional.pdf
Typer: ML boosted with type theory and Scheme https://www.iro.umontreal.ca/~monnier/typer-jfla2019.pdf
Understanding F-Algebras
https://www.schoolofhaskell.com/user/bartosz/understanding-algebras
https://www.schoolofhaskell.com/user/bartosz/understanding-algebras
Code and resources for "Handbook of Practical Logic and Automated Reasoning"
https://www.cl.cam.ac.uk/~jrh13/atp/
https://www.cl.cam.ac.uk/~jrh13/atp/